cianfa72's latest activity
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Yes, this video addresses exactly the point you made. -
cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.I believe the topic discussed in this thread is well addressed in R. Penrose's book "The Road to Reality". In chapter 1, he discusses...
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cianfa72 replied to the thread I QM Qubit state space representation by Projective Hilbert space.Yes, the above is the "familiar" 2 x 2 matrix representation for the ##S_z## operator (involving the Pauli z-matrix). By changing the...
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cianfa72 replied to the thread I QM Qubit state space representation by Projective Hilbert space.You mean pick a different orthonormal basis in ##\mathcal H_2## mapping they elements to vectors in ##\mathbb C^2## as prescribed by the...
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My training as a network engineer (retired) has been activated... On the face of it, the URL...
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cianfa72 replied to the thread I Describing the Big Bang.Even though the hyperbolic plane can't be embedded isometrically in 3D Euclidean space, can it be isometrically embedded in three...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Just to reiterate what you said. Suppose in the context of ZF set theory (i.e. without throwing in the AC) there was some way to prove...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Sorry, does what discussed above have anything to do with Godel's incompleteness theorems?
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cianfa72 reacted to Ibix's post in the thread B Einstein-Poincare Clock Synchronization Convention with
Like.
I agree with both @pervect and @Orodruin, about the importance of clock synchronisation to relativity (or lack of importance). But it's... -
cianfa72 reacted to PeroK's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
Not really. You just need a synchronization procedure. That defines the 1wsol. There are no physical assumptions, per se, in defining...
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cianfa72 reacted to Ibix's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
No you aren't. Dividing the round trip time by two and assuming that is the appropriate clock offset is an assumption of isotropic light...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Let me check my understanding. Consider the statement "R over Q doesn't have an Hamel basis". Is it true ? Who knows, what we can say is...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Sorry, the point I'm having trouble in understanding is that, I believe, ##\mathbb R_\mathbb Q## for instance either has or has not an...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Ah ok. Basically your are saying that to pick a basis for ##\mathbb R_\mathbb Q## without assuming AC as True you can't. However that...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Not sure to get the point. From the iff implication the existence of Hamel basis is equivalent to AC is True. Maybe the key point is...